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Ainat [17]
3 years ago
5

A savings account earns 8% interest each year, compounded quarterly (4 times a year). If a person invests $100 and makes no furt

her deposits or withdrawals, what is the balance in the account after 3 years?
Mathematics
1 answer:
Margaret [11]3 years ago
6 0

Answer:

251.817012

Step-by-step explanation:

1. Write out equation to get 100(1.08)^n*4

2.  Use 3 for n

3. Simplify to get 100(1.08)^12

4. Solve to get 251.817012

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Find the area of the shaded region
kodGreya [7K]

Answer:  21.994 cm²

Step-by-step explanation:

Area of the shaded region = Area of the bigger circle - the areas of the two smaller circles.

Formula for finding area of a circle       =  πr² where π is a constants . It has value of         22/7 or 3.142

Now area of the bigger circle                = 3.142 x 3²

                                                                  = 3.142 x 9

                                                                  = 28.278 cm²                                       Now are of the two smaller triangle        = 3.142 x 1² x 2

                                                                   = 6.284 cm².

Therefore are of the shaded region        = 28.278 - 6.284

                                                                   = 21.994 cm²

7 0
3 years ago
Find the unit rate for a runner in miles per hour who runs at a pace of 3/4 mile in 10minutes
yanalaym [24]

Answer:

\large \boxed{\text{4.5 mi/h}}

Step-by-step explanation:

A unit rate is the number of something there is per one unit of something else.

In this question, the unit rate is the number of miles per one hour.

1. Convert minutes to hours

\text{time} = \text{10 min} \times \dfrac{\text{1 h}}{\text{60 min}} = \frac{1}{6} \text{ h}

2. Find the unit rate

\begin{array}{rcl}\text{unit rate} & = & \dfrac{\text{miles}}{\text{hours}}\\\\& = & \dfrac{\frac{3}{4}\text{ mi}}{\frac{1}{6}\text{ h}}\\\\& = &\dfrac{3}{4} \times \dfrac{6}{1}\text{ mi/h}\\\\& = & \dfrac{3}{2} \times\text{3 mi/h}\\\\& = & \textbf{4.5 mi/h}\\\end{array}\\\text{The unit rate is $\large \boxed{\textbf{4.5 mi/h}}$}

7 0
3 years ago
What does x equal of the equation is 9x > x + 9.6​
goblinko [34]

Answer:

I think its 1.2

Step-by-step explanation:

3 0
3 years ago
Find the length from a to c. Enter answer as a mixed number ?
Alona [7]
Just subtract them:
-4 \frac{3}{4} -\frac{2}{3}=- 5\frac{5}{12}
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4 0
4 years ago
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Nady [450]

Answer:

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Multiply each term by x and simplify.

x²−2+4x=x²−3+x

Solve the equation.

x=−1/3

Step-by-step explanation:

3 0
3 years ago
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